108 citations · 174 across the 13 of their papers we have counts for
16 papers
Sharp Beckner-type inequalities for Cauchy and spherical distributions
Dominique Bakry, Ivan Gentil, Grégory Scheffer
Using some harmonic extensions on the upper-half plane, and probabilistic representations, and curvature-dimension inequalities with some negative dimensions, we obtain some new op…
Diffusions with polynomial eigenvectors via finite subgroups of O(3)
Dominique Bakry, Xavier Bressaud
We provide new examples of diffusion operators in dimension 2 and 3 which have orthogonal polynomials as eigenvectors. Their construction rely on the finite subgroups of O(3) and t…
Curvature dimension bounds on the deltoid model
Dominique Bakry, Olfa Zribi
The deltoid curve in R 2 is the boundary of a domain on which there exist probability measures and orthogonal polynomials for theses measures which are eigenvec-tors of diffusion o…
Hypergroup properties for the deltoid model
Dominique Bakry, Olfa Zribi
We investigate the hypergroup property for the family of orthogonal polynomials associated with the deltoid curve in the plane, related to the A 2 root system. This provides also t…
h-Transforms and Orthogonal Polynomials
Dominique Bakry, Olfa Zribi
We describe some examples of classical and explicit h-transforms as particular cases of a general mechanism, which is related to the existence of symmetric diffusion operators havi…
The Li-Yau inequality and applications under a curvature-dimension condition
Dominique Bakry, François Bolley, Ivan Gentil
We prove a global Li-Yau inequality for a general Markov semigroup under a curvature-dimension condition. This inequality is stronger than all classical Li-Yau type inequalities kn…